【作者】 吴文娟； 陈增强； 袁著祉；

【Author】 Wenjuan Wu,Zengqiang Chen,Zhuzhi Yuan Department of Automation,NanKai University,Tianjin 300071,PR China

【机构】 南开大学自动化系；

【摘要】 本文在一个改进的三维混沌系统的基础上,通过添加一个简单的非线性状态反馈控制器,提出了一个强的四维超混沌系统,并分析了这个超混沌系统复杂的动力学行为,包括基本性质、Lyapunov指数谱、分形分析、Poincaré截面。当新系统处于超混沌状态时,它的两个正Lyapunov指数值比已经提出的超混沌系统大很多,并且选择合适的参数,它的最大Lyapunov指数值可以达到26,而在另外一组合适的参数下,第二个正Lyapunov指数值可以达到7。更多还原

【Abstract】 This paper proposes a new four-dimensional hyperchaotic system constructed based on a modified three-dimensional chaotic system by adding a simple nonlinear state feedback controller.The complex dynamical behaviors of this hyperchaotic system are further investigated,including basic properties,Lyapunov exponents spectrum,bifurcation analysis,Poincaré mappings.Moreover,when this new system is hyperchaotic,its two positive Lyapunov exponents are much larger than those of hyperchaotic systems already been found.The largest Lyapunov exponent can reach 26 in some given parameters,and the second largest Lyapunov exponent can reach 7 in some other given parameters.更多还原